Triangular functions method for numerical solution of fractional Mathieu equation

Fractional differential equations (FDEs) have recently attracted much attention. Fractional Mathieu equation is a well-known FDE. Here, a method based on operational matrix of triangular functions for fractional order integration is introduced for the numerical solution of fractional Mathieu equation.This technique is a successful method because of reducing the problem to a system of linear equations. By solving this system, an approximate solution isobtained. Illustrative examples demonstrate accuracy and efficiency of the method

Keywords:

Fractional Mathieu equation , Caputo derivative , triangular functions , operational matrix